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Train & Boat and Stream II Quantitative Aptitude II MH-CET 2021 II 17 August

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Question 1

Train A, travelling at ‘s’ m/sec can cross a platform triple its length in 28 seconds. The same train, travelling at (s + 5) m/sec can cross the same platform in 14 seconds. What is the value of ‘s’?

Question 2

A   train   is   traveling   at   a   speed   of   72   km/h,   crosses   a   platform   in   18   seconds.   Another   train   which is   200   m   smaller   than   the   first   is   traveling   at   a   speed of   45   km/h.   In   how   much   time   will   second train   cross   the platform?

Question 3

A train of length L travelling at a speed of 7 m/s crosses a man standing in a platform in 30 seconds. Find the time taken by the train to cross another train of length 150 m travelling at a speed of 3 m/s on a parallel track in the same direction.

Question 4

The ratio of the speeds of a goods train and a passenger train running in opposite direction is 2 : 5. The two trains can cross each other in 2 minute. A man on the passenger train observes that the goods train crosses him in 70 seconds. If the goods train is 238 metres long, what is the length of the passenger train?

Question 5

A train A is running in the direction opposite to that of another train B. The speed of train A is 54 kmph and it crosses a pole in 20 seconds. Train B also crosses a platform of length 200 m with a speed of 90 kmph in 28 seconds. Calculate the time in which, train A will cross train B?

Question 6

Speed of a boat is 28% more than speed of the stream. Boat travels 56 km upstream and 228 km downstream in total 25 hours then what is the time taken by the boat to travel 215 km in still water?

Question 7

A boat which is capable of travelling at 32 kmph in still water is going downstream in a stream with speed 4 kmph and against the wind blowing at 2 kmph. If the boat is going at 75% of its maximum speed in still water then how long will it take to travel 91 km in such a scenario.

Question 8

A motorboat whose speed in still water is 50% more than the speed of stream. It goes 100 km downstream and 70 km upstream. Total time taken is two times the time taken by another boat who goes 72 km upstream with speed 8 km/hr (including the speed of stream). Find the speed of motorboat.

Question 9

A boat travels 240 km downstream and same distance in upstream in 5 hours. If the ratio of the speed of boat to the speed of current is 5: 3, find how much time boat will take to travel 120 km upstream.

Question 10

A man starts rowing downstream from point A in a boat, whose speed is 9.5 kmph in still water. If the speed of the stream is 2.5 kmph and the boat takes 114 minutes in rowing from A and B and coming back to A, then find the distance between A and B.
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